Browsing Category
Algorithm
171 posts
An algorithm is a step-by-step procedure for solving a problem or performing a task. Algorithms can be used in a variety of fields, including computer science, mathematics, and engineering.
Naive String-Matching Algorithm: Detailed Explanation and Code Implementation
I want to start by explaining what the naive string-matching algorithm actually is. When I need to find…
Number-Theoretic Algorithms: A Comprehensive Guide with Examples
I want to introduce number-theoretic algorithms as the collection of computational techniques I use to solve problems rooted…
Polynomials and the FFT: A Comprehensive Guide to Fast Fourier Transform
I want to explain how the Fast Fourier Transform (FFT) lets me multiply polynomials — and, more generally,…
Linear Programming: A Comprehensive Guide to Optimization Techniques
I want to explain linear programming (LP) as a mathematical framework I use to find the best outcome…
Matrix Operations and Linear Algebra in C: Complete Implementation Guide
I want to walk through the core operations of linear algebra — addition, multiplication, transposition, determinant computation, and…
Multithreaded Algorithms: A Comprehensive Guide to Parallel Computing
I want to explain how I design algorithms that run across multiple threads of execution simultaneously, rather than…
Maximum Flow Algorithm: Comprehensive Explanation and Implementation Guide
I want to explain the maximum flow problem, where I am given a flow network — a directed…
Johnson’s Algorithm for Sparse Graphs: Complete Explanation and Implementation
I want to explain Johnson’s algorithm, which I use to compute all-pairs shortest paths in a weighted, directed…
Floyd-Warshall Algorithm: Comprehensive Explanation and C Implementation
The Floyd-Warshall algorithm is a dynamic programming approach for finding the shortest paths between all pairs of vertices…
Introduction to Shortest Paths via Matrix Multiplication: Complete Guide
The matrix multiplication approach to solving the all-pairs shortest paths (APSP) problem is an interesting application of dynamic…